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Finding the Fourth Proportional to 5,120.22, 7,681 and 1,833.68

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Solution

The fourth proportional to 5,120.22, 7,681 and 1,833.68 is: 2,750.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.22 : 7,681 = 1,833.68 : x
  2. Step 2: Convert to fraction form
    5,120.22/7,681 = 1,833.68/x
  3. Step 3: Cross multiply
    5,120.22x = 7,681 × 1,833.68
  4. Step 4: Simplify right side
    5,120.22x = 14,084,496.08
  5. Step 5: Solve for x
    x = 14,084,496.08/5,120.22
  6. Step 6: Final answer
    x = 2,750.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.